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Optimal Control of Fractional-Order System with FreedomEnd-Point or Function Constrained End.Point
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[1]ZENG Qingshan,YANG Zengfang.Optimal Control of Fractional-Order System with FreedomEnd-Point or Function Constrained End.Point[J].Journal of Zhengzhou University (Engineering Science),2012,33(03):68-71.[doi:10.3969/j.issn.1671-6833.2012.03.017]
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Journal of Zhengzhou University (Engineering Science)[ISSN 1671-6833/CN 41-1339/T] Volume: 33 Number of periods: 2012 03 Page number: 68-71 Column: Public date: 2012-05-10
Title:
Optimal Control of Fractional-Order System with FreedomEnd-Point or Function Constrained End.Point
Author(s):
ZENG Qingshan; YANG Zengfang
School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001 ,China
Keywords:
fractional-order system;  optimal control;  performance index funetion
CLC:
TP13
DOI:
10.3969/j.issn.1671-6833.2012.03.017
Abstract:
The method of solving the optimal control problem for integer-order systems is extended into frac-tional-order in this paper. The optial control of the systems deseribed by Caputo’s fractional-order differenti.al equation is investigated. The state equation, concomitant equation, control equation, transyersality condi.tions and terminal constraint equations of optimal control for fractional-order system with fixed terminal time,free terminal state and fixed terminal time function constrnined end-point is proposed and proved exaetly in the paper.
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